OCR MEI C4 — Question 6

Exam BoardOCR MEI
ModuleC4 (Core Mathematics 4)
TopicVectors 3D & Lines

6
  1. Verify that the lines \(\left. \mathbf { r } = \begin{array} { r } - 5
    3
    4 \end{array} \right) + \lambda \left( \begin{array} { r } 3
    0
    - 1 \end{array} \right)\) and \(\left. \left. \mathbf { r } = \begin{array} { r } - 1
    4
    2 \end{array} \right) + \mu - \begin{array} { r } 2
    - 1
    0 \end{array} \right)\) meet at the point ( \(1,3,2\) ).
  2. Find the acute angle between the lines.